Altcoins that are better than bitcoin in several ways?
I don't think that there are altcoins like that. If they are better than bitcoin then it will reflect to their market cap and their price are going to be higher than bitcoin calculating their supply limit and demand. But I haven't seen any big altcoin that can compete bitcoin that way.
In a way, altcoins can be better than Bitcoin. Many of them are faster, more anonymous and cheap. However, Bitcoin will always be a leader of the market, and it will affect the price of the other cryptocurrencies.
